A Statistics Teacher Wanted to See Whether There Was a Significant

Essay

A statistics teacher wanted to see whether there was a significant difference in ages between day students and
night students. A sample of 35 students is selected from each group. The data are given below. Assume the two
samples are random and independent. Test the claim that there is no difference in age between the two groups.
Use α $\alpha = 0.05$ Day Students $$\begin{array} { l l l l l l l l l l l l } 22 & 24 & 24 & 23 & 19 & 19 & 23 & 22 & 18 & 21 & 21 & 18 \\18 & 25 & 29 & 24 & 23 & 22 & 22 & 21 & 20 & 20 & 20 & 27 \\17 & 19 & 18 & 21 & 20 & 23 & 26 & 30 & 25 & 21 & 25 &\end{array}$$ Evening Students $$\begin{array} { l l l l l l l l l l l l } 18 & 23 & 25 & 23 & 21 & 21 & 23 & 24 & 27 & 31 & 24 & 20 \\20 & 23 & 19 & 25 & 24 & 27 & 23 & 20 & 20 & 21 & 25 & 24 \\23 & 28 & 20 & 19 & 23 & 24 & 20 & 27 & 21 & 29 & 30 &\end{array}$$